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- Publisher Website: 10.1016/j.patcog.2019.107181
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Article: Patched-tube unitary transform for robust tensor completion
Title | Patched-tube unitary transform for robust tensor completion |
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Authors | |
Keywords | Unitary transform Patched-tubes Robust tensor completion Transformed tensor singular value decomposition |
Issue Date | 2020 |
Publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/pr |
Citation | Pattern Recognition, 2020, v. 100, p. article no. 107181 How to Cite? |
Abstract | The aim of the robust tensor completion problem for third-order tensors is to recover a low-rank tensor from incomplete and/or corrupted observations. In this paper, we develop a patched-tubes unitary transform method for robust tensor completion. The proposed method is to extract similar patched-tubes to form a third-order sub-tensor, and then a transformed tensor singular value decomposition is employed to recover such low-rank incomplete and/or corrupted sub-tensor. Here the unitary transform matrix for transformed tensor singular value decomposition is constructed by using left singular vectors of the unfolding matrix arising from such sub-tensor. Moreover, we establish the perturbation results of the transformed tensor singular value decomposition for patched-tubes tensor completion. Extensive numerical experiments on hyperspectral, video and face data sets are presented to demonstrate the superior performance of the proposed patched-tubes unitary transform method over testing state-of-the-art robust tensor completion methods. |
Persistent Identifier | http://hdl.handle.net/10722/288097 |
ISSN | 2023 Impact Factor: 7.5 2023 SCImago Journal Rankings: 2.732 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Ng, MK | - |
dc.contributor.author | Zhang, X | - |
dc.contributor.author | Zhao, XL | - |
dc.date.accessioned | 2020-10-05T12:07:49Z | - |
dc.date.available | 2020-10-05T12:07:49Z | - |
dc.date.issued | 2020 | - |
dc.identifier.citation | Pattern Recognition, 2020, v. 100, p. article no. 107181 | - |
dc.identifier.issn | 0031-3203 | - |
dc.identifier.uri | http://hdl.handle.net/10722/288097 | - |
dc.description.abstract | The aim of the robust tensor completion problem for third-order tensors is to recover a low-rank tensor from incomplete and/or corrupted observations. In this paper, we develop a patched-tubes unitary transform method for robust tensor completion. The proposed method is to extract similar patched-tubes to form a third-order sub-tensor, and then a transformed tensor singular value decomposition is employed to recover such low-rank incomplete and/or corrupted sub-tensor. Here the unitary transform matrix for transformed tensor singular value decomposition is constructed by using left singular vectors of the unfolding matrix arising from such sub-tensor. Moreover, we establish the perturbation results of the transformed tensor singular value decomposition for patched-tubes tensor completion. Extensive numerical experiments on hyperspectral, video and face data sets are presented to demonstrate the superior performance of the proposed patched-tubes unitary transform method over testing state-of-the-art robust tensor completion methods. | - |
dc.language | eng | - |
dc.publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/pr | - |
dc.relation.ispartof | Pattern Recognition | - |
dc.subject | Unitary transform | - |
dc.subject | Patched-tubes | - |
dc.subject | Robust tensor completion | - |
dc.subject | Transformed tensor singular value decomposition | - |
dc.title | Patched-tube unitary transform for robust tensor completion | - |
dc.type | Article | - |
dc.identifier.email | Ng, MK: michael.ng@hku.hk | - |
dc.identifier.authority | Ng, MK=rp02578 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.patcog.2019.107181 | - |
dc.identifier.scopus | eid_2-s2.0-85077066041 | - |
dc.identifier.hkuros | 315735 | - |
dc.identifier.volume | 100 | - |
dc.identifier.spage | article no. 107181 | - |
dc.identifier.epage | article no. 107181 | - |
dc.identifier.isi | WOS:000533530800062 | - |
dc.publisher.place | Netherlands | - |
dc.identifier.issnl | 0031-3203 | - |